Solve each proportion)

1. 4/m-8=8/2

2. x-3/x=9/10

3.5/r-9=8/r+5

4.n-5/n+8=2/7

Answer:

when r=3 and s=5.

Step-by-step explanation:

Given : Expression  when r=3 and s=5

Substituting, r=3 and s=5

Therefore,  when r=3 and s=5.

Answer:

Step-by-step explanation:

31) Multiply the entire equation by the LCM of 5 & 4 which is 20

[tex]20*\dfrac{2x^{2}}{5}+20*\dfrac{5x}{4}=10*20\\\\4*2x^{2}+5*5x = 200\\\\8x^{2}+25x - 200 = 0[/tex]

B

32) D

By trial & error method 17 * 15 = 255

33) x = 2

y = 4x² + 1

  = 4*2² + 1 = 4*4 + 1

  = 16 + 1

y = 17

B

34) D) all real numbers

35) Domain = all real numbers,

x = -2 ; y = -(-2+2)² - 7 = 0 - 7 = - 7

x = 0 ; y = -(0+2)² - 7 = -4 - 7 = -11

x = 4; y = -(4+2)² - 7 = - 6² -7 = -16 - 7 = - 23

C) y ≤ -7

36) t =  1 second

y = 160t - 40t² = 160*1 - 40*1² = 160 - 40

y = 120 m

C

37)  Let the number be 'x'

x² + x = 165

x² + 4x - 165 = 0

Sum = 4

Product = -165

Factors = 15 , -11      {15*(-11) = -165   & 15+ (-11) = 4}

x² + 15x - 11x - 165 = 0

x(x + 15) - 11(x + 15)=0

(x + 15)(x - 11) = 0

x + 15 = 0   ; x - 11 = 0

x = -15       ; x = 11

C

38) y = 3(x + 1)² - 2

Plugin x = -1   ; y = 3(-1 +1)² - 2 = 0 - 2

                        y = -2

(-1 , -2)

D

39) y = 3(x - 9)²  + 3

Plugin x = 9 ;   y = 3(9-9) + 3 = 0 + 3 = 3

B

Answer:

Since x (independent) is time and y (dependent) is temperature;

F(0)  =50 means; at the beginning which is 0 minutes, the temperature is 50F

f(120)>f(60) means the temperature after 120 min is bigger than the temperate after 60 min.

f(360) = f(345) means the temperature after 360 min and 345 min are the same  

f(390) < f(360) means the temperate after 390 min is less than the temperature after 360 min  

Step-by-step explanation:

Answer:

Since x (independent) is time and y (dependent) is temperature;

F(0)  =50 means; at the beginning which is 0 minutes, the temperature is 50F

f(120)>f(60) means the temperature after 120 min is bigger than the temperate after 60 min.

f(360) = f(345) means the temperature after 360 min and 345 min are the same  

f(390) < f(360) means the temperate after 390 min is less than the temperature after 360 min  

Step-by-step explanation:

Answer:

[tex]\frac{1+\sqrt{5} }{2}[/tex] or 1.62

Step-by-step explanation:

A cool thing about the fibonacci sequence is that if you divide two consecutive numbers, the larger they are, they approach the golden ratio. This means the approximate value would be the golden ratio which is [tex]\frac{1+\sqrt{5} }{2}[/tex].

Answer:

its 2 and 5

Step-by-step explanation:

stan exo

Answer:

13.89 m/s

Step-by-step explanation:

Velocity = displacement = time

75 km = 75000 m

1.5 hours = 5400 sec

applying the formula

velocity = 75000 m= 5400 s = 13.89 m/s

Answer:

Velocity= Displacement / Time

= 75/1.5

=50km/hr

Step-by-step explanation:

hope it helps

mark me brainliest pls

Answer:

3/2

Step-by-step explanation:

rise over run

Answer:

To find the mean, add up the values in the data set and then divide by the number of values that you added. To find the median, list the values of the data set in numerical order and identify which value appears in the middle of the list. To find the mode, identify which value in the data set occurs most often.

Let's say we had the massive number

6,230,000,000

which we can shorten it to saying "6.23 billion" and that allows us to drop all the extra zeros at the end.

When writing it in scientific notation, we would say [tex]6.23 \times 10^9[/tex] and the [tex]\times 10^9[/tex] portion indicates "times ten to the ninth power". This is the place holder for "billion". It means we'll move the decimal point 9 spots to the right to go from 6.23 back to the original massive number shown above.

In short, scientific notation allows us to represent really large numbers in a compact way. It's useful to be able to communicate to a friend about whatever number you're referring to. One application is trying to find vast distances in outer space which tend to be very larger numbers. There are many other applications for scientific notation.

Answer:

Step-by-step explanation:

Since bases are parallel, C and D are supplementary angles:

Given :-

To find :-

Answer :-

As we know that ,

Here ,

So that ,

Answer:

the answer is c.

Step-by-step explanation:

there's no explanation

(Apologies since this super late; I hope future students will find this helpful)

Answer:

In a scalene triangle, none of the angles are congruent.

Step-by-step explanation:

As shown, the angles in each scalene triangle all have different measurements. Hence, you can conclude that none of the angles in a scalene triangle are congruent.

You can also see the image below if you'd like to confirm this :)

Answer:

Angels 3 and 1 are vertical angels

Step-by-step explanation:

And they both have the same measurement since they are directly opposite of each other.

Answer:

Step-by-step explanation:

The circumference equation:

Given:

The circumference is:

[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]

Circumference of the circle is :

now, here radius (r) = 6 mm, let's find the circumference :

Answer:

the answers are 94, 95, 96

Answer:

156

Step-by-step explanation:

mulitply them, multiplying 2 negative numbers make a positive one. -12 x -13 = 156

Answer:

y = $238

Step-by-step explanation:

Given the equation,  y = 0.29x + 58

Where:

y = total cost of renting a car

x = number of miles driven

58 = initial cost or amount.

To find the estimated cost for renting a car if you plan on driving for 619 miles, substitute 619 as the value of x into the equation:

y = 0.29(619) + 58

y = 179.51 + 58

y = 237.51 or 238

Therefore, the estimated total cost for driving 619 miles is $238.

Please mark my answers as the Brainliest if you find this helpful :)

Step-by-step explanation:

jffkjfkfkro3p2009uh2 that is c my answer

Answer: Fourth Choice. -46.08

Concept:

Here, we need to understand the idea of evaluation.  

When encountering questions that gave you an expression with variables, then stated: "If x = a, y = b, z = c" (a, b, c are all constants), this means you should substitute the value given for each variable back to the expression.

Solve:

Given information

s = 2.4

b=-7.2

t=4.8

n=-9.6

Given expression

(s - b) (n + t)

Substitute values into the expression

= (2.4 - (-7.2)) (-9.6 + 4.8)

Simplify values in the parentheses

= (2.4 + 7.2) (-4.8)

=(9.6) (-4.8)

Simplify by multiplication

= [tex]\boxed{-46.08}[/tex]

Hope this helps!! :)

Please let me know if you have any questions

Answer:

Step-by-step explanation:

s = 2.4

b = - 7.2

t = 4.8

n = - 9.6

Substituting the given values in the equation :-

= > ( s - b ) ( n + t )

= > ( 2.4 - ( - 7.2 ) ) ( - 9.6 + 4.8 )

= > ( 2.4 + 7.2 ) ( -4.8 )

= > ( 9.6 ) ( - 4.8 )

= > - 46.8

Answer:

Each slice of pizza is 4 dollars

Step-by-step explanation:

you need to multiply 2.50$ by 3 to get the total of the drinks and subtract it by the overall total of 31.50 to get the total cost of the pizza or 24.00$. Then you divide 24.00$ by 6 since there are 3 people and they each get 2 slices of pizza giving you 4.00$ per slice of pizza.

Answer:

(2, -5)

Step-by-step explanation:

Using the midpoint formula - M= [tex](\frac{x_{1} +x_{2} }{2}, \frac{y_{1}+y_{2} }{2} )[/tex], we get that the x value of the point is 2 and the y-value of the midpoint is -5, so the midpoint of segment ST is (2, -5)

[tex]\\ \sf\longmapsto -5pq(3p)(6q)[/tex]

[tex]\\ \sf\longmapsto -5pq(18pq[/tex]

[tex]\\ \sf\longmapsto -90(pq)^2[/tex]

[tex]\\ \sf\longmapsto -90p^2q^2[/tex]

Step-by-step explanation:

1 is your answer its law of trig identises

[tex]\\ \sf\longmapsto \dfrac{1}{cot^2x}-\dfrac{1}{cos^2x}[/tex]

[tex]\\ \sf\longmapsto tan^2x-sec^2x[/tex]

[tex]\\ \sf\longmapsto 1[/tex]

Answer:

y = - x +2

Step-by-step explanation:

Slope = -1

Point: (-3,5)

b = 5 - (- 1)(- 3)

= 5 - 3 = 2

Check the picture below.

Notice it's simply a 5x4 rectangle, and surely you know how to get its area.

Answer:

the amount on your savings account ;

the amount of money in your piggy bank if you deposit the same amount each week (a bank account with regular deposits leads you to arithmetico-geometric sequences) ;

the size of a population in exponential growth, e.g. bacteria in a Petri dish (or in your leftovers if you find Petri dishes not "every day life" enough) ;

the intensity of radioactivity after n years of a given radioactive material (with application to determining the age of mommies!).

Step-by-step explanation:

it can not be determined